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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 182r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.70.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. (3tio
  2. X = y. X logX = log y se dx logx. dx = dy: y
  3. o
  4. (2d0)
  5. Ergusq )3 dx = y logx. dx =dy seu Sydx + sylogxdx = y
  6. seuto) X dx + fx. lag. X dx = y. Itaque haec duo
  7. Summulida ex se invicem pendent X. et X logX
  8. X-1
  9. tx +
  10. Ex aeq. 3 fit 1+ log. X tadu
  11. ymo) dy: ydx. SebxXC Unde si ddx - 0, fiet
  12. a, X. logk
  13. d log. X =Add log y: Ax san dxdX 1X = se seu dx dloyr dtle
  14. seu ex dogla axdlogx = dd log. y. sed hoc
  15. 81ox
  16. misso ex g. sufficit ex ∞g. 3 haberi dX. = X. dx + X. bge dp
  17. A
  18. t
  19. F jam d, X. logX. fit = (9n0) X= 1, + logX. X. ex + logx x. dx
  20. quaeratur
  21. quaeratur puline rixte,
  22. log. sia
  23. r-
  24. o)te
  25. X = P. l0g. X
  26. + log.X
  27. generaliter X = y fit Y logx = log y. et vdx. X FlogXdi
  28. out
  29. dy: y seu d. X. = E V V eB V. X. dx + X. log. X. do
  30. 10mot
  31. Xtc
  32. aXte s
  33. d. X. l0gX = Rdx, 1.X = log. X
  34. r-1
  35. 4
  36. = dx, r. X log. X - + log. X. XtC. X
  37. XtCj x+
  38. 1
  39. te ure
  40. + o. X. (Xt C. X. +X. bgp
  41. 1-
  42. +P-1
  43. X
  44. dx, Y. A. log. X. +(0g. X. X. + legx X
  45. e
  46. +k. 10g2.
  47. e + XV
  48. lgs. X
  49. e
  50. H
  51. d.X = _dx, X. + X? log. X quod et jam pat et ex aeq.
  52. si Y et e =0 fit
  53. x X, 2
  54. si r = 1 fit et C= 0 fit d, X. log. X = dx, X. + logX. X + X. logX
  55. sed Ergo. fX. log. X dx=
  56. d. X∞. 1.
  57. X logX. dx + XC dx = 1. X lx
  58. fiet di
  59. d, X = X axF X log. X dx + X dx + 0. X dx
  60. +-
  61. d. X.
  62. 12
  63. d) X. =
  64. d, qute -
  65. d, X2 sogX. =
  66. X2F log. X dx + X dx +, X. dx
  67. X log. X de + XF ax + 2 X dx
  68. ure
  69. Xte-
  70. XEB log.X dx +R. dx +e X
  71. X
  72. logX X. dx +log. X. F7
  73. +
  74. t
  75. At
  76. logx
  77. dx
  78. +1
  79. X ulgx
  80. xte- dx
  81. mp

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 182r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0359?run=74